Question

Find the value of x.
A. 10
B. 6
C. 14
D. 8

Answer 1

Option (B)

Explanation:

If two chords are intersecting each other at a point insides a circle,

"Product of the measures of the line segments on each chord are equal"

By this property,

MH × HY = TH × HN

By substituting the measures of each segment,

7 × 12 = 14 × (
`x`)

`x=(84)/(14)`

`x=6`

Therefore, Option (B) will be the correct option.

Answer 2

9514 1404 393

Answer:

B. 6

Explanation:

The products of the lengths of the parts of the chord are the same.

7×12 = 14x

7(12)/14 = x = 6 . . . . . divide by 14